Question

Find the zeros of the function by rewriting the function in intercept form.

A. g(x) = (x + 2)(x + 5)
B. g(x) = (x + 3)(x + 4)
C. g(x) = (x + 1)(x + 10)
D. g(x) = (x + 6)(x + 7)

Answer 1

To find the zeros of the function, set each factor equal to zero and solve for x. The zeros are the x-values that make the function equal to zero. Functions A through D are solved this way, resulting in two zeros for each function.

Step-by-step explanation:

To find the zeros of a function by rewriting it in intercept form, you simply need to set the function equal to zero and solve for x. The zeros are the values of x that make the function equal to zero.

For each function given, we do the following:

• A. g(x) = (x + 2)(x + 5): The zeros are x = -2 and x = -5.
• B. g(x) = (x + 3)(x + 4): The zeros are x = -3 and x = -4.
• C. g(x) = (x + 1)(x + 10): The zeros are x = -1 and x = -10.
• D. g(x) = (x + 6)(x + 7): The zeros are x = -6 and x = -7.

The zeros are found by looking at the factors of each function and setting them to zero. For instance, for the function g(x) = (x + 2)(x + 5), when either x + 2 or x + 5 equals zero, the function equals zero. Therefore, the solutions are x = -2 and x = -5, giving us the zeros for that function.